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LLL algorithm extended to linearly dependent vectors

asked 2019-08-26 11:12:26 +0100

updated 2019-08-27 00:23:10 +0100

Iguananaut gravatar image

Dear Sage community,

I am searching the way to compute Modified LLL Reduction algorithm ( by Michael Pohst) having in input a linear dependent vectors. Please could anyone help me to understand a way to do that in SAGE ?

Thank you in advance best regards AP

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answered 2019-08-26 20:10:53 +0100

nbruin gravatar image

Have you tried the standard ".LLL" method on integer matrices? It seems to work fine on non-maximal rank examples too. You might want to dig into the documentation of the underlying libraries to confirm that the results are intended to be valid.

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Thank you... I will try, but there is anyone with an example of application on linear dependent vectors ?

A.PASCONCINO gravatar imageA.PASCONCINO ( 2019-08-27 14:16:45 +0100 )edit

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Asked: 2019-08-26 11:12:26 +0100

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Last updated: Aug 27 '19